TY - JOUR
T1 - Essential self adjointness of Laplacians on Riemannian manifolds with fractal boundary
AU - Masamune, Jun
PY - 1999
Y1 - 1999
N2 - We study the problem of the essential self-adjointness of Laplacians on Riemannian manifolds. We show that a sufficient condition is if the boundary of a manifold M. by which we mean M̄\M, where M̄ is the metric completion of M, is almost polar set. Two other results concern special cases, when the boundary is some sort of fractal set or even a manifold. It is shown that the boundary is almost polar set in the cases under certain dimensional restrictions.
AB - We study the problem of the essential self-adjointness of Laplacians on Riemannian manifolds. We show that a sufficient condition is if the boundary of a manifold M. by which we mean M̄\M, where M̄ is the metric completion of M, is almost polar set. Two other results concern special cases, when the boundary is some sort of fractal set or even a manifold. It is shown that the boundary is almost polar set in the cases under certain dimensional restrictions.
KW - Essential self-adjointness
KW - Fractals
KW - Laplacians
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U2 - 10.1080/03605309908821442
DO - 10.1080/03605309908821442
M3 - Article
AN - SCOPUS:0033475623
SN - 0360-5302
VL - 24
SP - 749
EP - 757
JO - Communications in Partial Differential Equations
JF - Communications in Partial Differential Equations
IS - 3-4
ER -